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Transformations of Functions>
Vertical Translations (Shifts) from a Point>
Vertical Translations (Shifts) from a PointVertical Translations (Shifts) from a Point
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Question 1 of 3
1. Question
Translate (shift) the pointÂ `(4,1)` down by `5` units.
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Vertical translations (shifts) of functions are written in the form `y=f(x)+color(royalblue)(c)`.`color(royalblue)(c)` is how many units up or down the graph will be shifted.`(c) \ bb(darr)` Shift Down`(+c) \ bb(uarr)` Shift UpTo translate (shift) the point `(4,1)` down by `5` units, subtract `5` from the `y` coordinate.`(4,1)` Subtract `5` from the `y` coordinate. Remember `(x,y)`. `=` `(4,15)` Simplify `=` `(4,6)` `(4,6)` 
Question 2 of 3
2. Question
Translate (shift) the pointÂ `(4,1)` up by `7` units.
Correct
Great Work!
Incorrect
Vertical translations (shifts) of functions are written in the form `y=f(x)+color(royalblue)(c)`.`color(royalblue)(c)` is how many units up or down the graph will be shifted.`(c) \ bb(darr)` Shift Down`(+c) \ bb(uarr)` Shift UpTo translate (shift) the point `(4,1)` up by `7` units, add `7` to the `y` coordinate.`(4,1)` Add `7` to the `y` coordinate. Remember `(x,y)`. `=` `(4,1+7)` Simplify `=` `(4,6)` `(4,6)` 
Question 3 of 3
3. Question
Translate (shift) the point `(2,4)` up by `3` units.
Correct
Great Work!
Incorrect
Vertical translations (shifts) of functions are written in the form `y=f(x)+color(royalblue)(c)`.`color(royalblue)(c)` is how many units up or down the graph will be shifted.`(c) \ bb(darr)` Shift Down`(+c) \ bb(uarr)` Shift UpTo translate (shift) the point `(2,4)` up by `3` units, add `3` to the `y` coordinate.`(2,4)` Add `3` to the `3` coordinate. Remember `(x,y)`. `=` `(2,4+3)` Simplify `=` `(2,1)` `(2,1)`
Quizzes
 Vertical Translations (Shifts) 1
 Vertical Translations (Shifts) 2
 Vertical Translations (Shifts) from a Point
 Horizontal Translations (Shifts) 1
 Horizontal Translations (Shifts) from a Point
 Horizontal Translations (Shifts) from a Graph
 Horizontal and Verticals Translations (Shifts) from a Graph
 Sketch a Graph using Translations (Shifts)
 Write the Equation from a Graph
 Write the Equation from Translations (Shifts) 1
 Vertical Dilations (Stretch/Shrink)
 Horizontal Dilations (Stretch/Shrink) 1
 Horizontal Dilations (Stretch/Shrink) 2
 Horizontal Dilations (Stretch/Shrink) – Scale Factor
 Horizontal and Vertical Dilations (Stretch/Shrink) 1
 Horizontal and Vertical Dilations (Stretch/Shrink) 2
 Horizontal and Vertical Dilations (Stretch/Shrink) 3
 Graphing Reflections 1
 Graphing Reflections 2
 Reflection with Rotation
 Combinations of Transformations: Order
 Combinations of Transformations: Coordinates
 Combinations of Transformations: Find Equation 1
 Combinations of Transformations: Find Equation 2
 Combinations of Transformations: Find Equation 3